(dy)/(dt)+2y=-1

Lösung

\frac{d y}{d t} + 2 y = - 1

y = \frac{e ^{- 2 t - c_{1}}}{2} - \frac{1}{2}

Schritte zur Lösung

\frac{d y}{d t} + 2 y = - 1

Solve separable ODE:

y = \frac{e ^{- 2 t - c_{1}}}{2} - \frac{1}{2}

y = \frac{e ^{- 2 t - c_{1}}}{2} - \frac{1}{2}

y^{^{'}} = 1 - x - y + x y

\frac{d y}{d x} = 3 x^{5} y

\frac{d y}{d x} = - \frac{3}{4} x^{7} y^{8}

y^{^{'}} \cdot x = 2 y

y^{^{'}} = 5 y^{- 4}, y (2) = 5